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LCM of 859, 949, 172, 736

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 859, 949, 172, 736 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 859, 949, 172, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,949,172,736

Given numbers are 859,949,172,736

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 859,949,172,736 is 25799164768.

Find LCM of 859,949,172,736 with Prime Factorization


2 859, 949, 172, 736
2 859, 949, 86, 368
859, 949, 43, 184

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 859 x 949 x 43 x 184 = 25799164768

Therefore, the lowest common multiple of 859,949,172,736 is 25799164768.

LCM Formula to Find Lowest Common Multiple of 859,949,172,736

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

859 x 949 x 172 x 736 = 103196659072

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

859 : 1, 859

949 : 1, 13, 73, 949

172 : 1, 2, 4, 43, 86, 172

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,949,172,736, is 1.

Now, the common factors can be found like this.

859:859

949:13x 73

172:2x 2x 43

736:2x 2x 2x 2x 2x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 103196659072/(1x4)

LCM = 103196659072/4

LCM = 25799164768

Thus, we can understand that the LCM of 859,949,172,736 is 25799164768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 949, 172, 736

1. What is the LCM of 859, 949, 172, 736?

Answer: LCM of 859, 949, 172, 736 is 25799164768.

2. How to calculate the LCM of 859, 949, 172, 736?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 859, 949, 172, 736.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.